The infrared Yang-Mills wave functional due to percolating center vortices

Abstract

Inspired by the center-vortex dominance in the infrared sector of $SU(N)$ Yang-Mills theory observed on the lattice, we propose a vacuum wave functional localized on an ensemble of correlated center vortices endowed with stiffness and magnetic monopoles that change the orientation of the vortex flux. In the electric-field representation, this wave functional becomes an effective partition function for N complex scalar fields. The inclusion of both oriented and non-oriented vortices as well as so-called N-vortex matchings leads to an effective potential that has only a center symmetry left. In the center-vortex condensed phase, this symmetry is spontaneously broken. In this case, the Wilson loop average can be approximated by a solitonic saddle-point localized around the minimal surface. The asymptotic string tension thus obtained displays Casimir scaling.

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• Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Monopole-vortex continuity of $\mathcal{N}=1$ super Yang-Mills theory on ${\mathbb{R}}^2\times S^1\times S^1$ with 't Hooft twist
• Prospecting effective Yang-Mills-Higgs models for the asymptotic confining flux tube
• Study of the Emergence of a Gluon Mass Scale from Center Vortices Using a Wave-Functional Formalism
• Structure of center-vortex matter in SU(4) Yang-Mills theory
• Thick oriented and nonoriented center-vortex $SU(N)$ configurations with fractional topological charge lumps